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Article: Design of constrained causal stable IIR filters using a new second- order-cone-programming-based model-reduction technique
Title | Design of constrained causal stable IIR filters using a new second- order-cone-programming-based model-reduction technique |
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Authors | |
Keywords | Causal stable infinite-impulse response (IIR) filters Linear and convex quadratic constraints Model reduction Polyphase decomposition Second-order cone programming |
Issue Date | 2007 |
Publisher | IEEE. |
Citation | Ieee Transactions On Circuits And Systems Ii: Express Briefs, 2007, v. 54 n. 2, p. 107-111 How to Cite? |
Abstract | This brief proposes a new method for designing infinite-impulse response (IIR) filter with peak error and prescribed flatness constraints. It is based on the model reduction of a finite-impulse response function that satisfies the specification by extending a method previously proposed by Brandenstein et al. The proposed model-reduction method retains the denominator of the conventional techniques and formulates the optimal design of the numerator as a second-order cone programming problem. Therefore, linear and convex quadratic inequalities such as peak error constraints and prescribed number of zeros at the stopband for IIR filters can be imposed and solved optimally. Moreover, a method is proposed to express the denominator of the model-reduced IIR filter as a polynomial in integer power of z, which efficiently facilitates its polyphase implementation in multirate applications. Design examples show that the proposed method gives better performance, and more flexibility in incorporating a wide variety of constraints than conventional methods. © 2007 IEEE. |
Persistent Identifier | http://hdl.handle.net/10722/44765 |
ISSN | |
ISI Accession Number ID | |
References |
DC Field | Value | Language |
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dc.contributor.author | Chan, SC | en_HK |
dc.contributor.author | Tsui, KM | en_HK |
dc.contributor.author | Tse, KW | en_HK |
dc.date.accessioned | 2007-10-30T06:09:45Z | - |
dc.date.available | 2007-10-30T06:09:45Z | - |
dc.date.issued | 2007 | en_HK |
dc.identifier.citation | Ieee Transactions On Circuits And Systems Ii: Express Briefs, 2007, v. 54 n. 2, p. 107-111 | en_HK |
dc.identifier.issn | 1057-7130 | en_HK |
dc.identifier.uri | http://hdl.handle.net/10722/44765 | - |
dc.description.abstract | This brief proposes a new method for designing infinite-impulse response (IIR) filter with peak error and prescribed flatness constraints. It is based on the model reduction of a finite-impulse response function that satisfies the specification by extending a method previously proposed by Brandenstein et al. The proposed model-reduction method retains the denominator of the conventional techniques and formulates the optimal design of the numerator as a second-order cone programming problem. Therefore, linear and convex quadratic inequalities such as peak error constraints and prescribed number of zeros at the stopband for IIR filters can be imposed and solved optimally. Moreover, a method is proposed to express the denominator of the model-reduced IIR filter as a polynomial in integer power of z, which efficiently facilitates its polyphase implementation in multirate applications. Design examples show that the proposed method gives better performance, and more flexibility in incorporating a wide variety of constraints than conventional methods. © 2007 IEEE. | en_HK |
dc.format.extent | 470593 bytes | - |
dc.format.extent | 2384 bytes | - |
dc.format.extent | 3821 bytes | - |
dc.format.extent | 27162 bytes | - |
dc.format.mimetype | application/pdf | - |
dc.format.mimetype | text/plain | - |
dc.format.mimetype | text/plain | - |
dc.format.mimetype | text/plain | - |
dc.language | eng | en_HK |
dc.publisher | IEEE. | en_HK |
dc.relation.ispartof | IEEE Transactions on Circuits and Systems II: Express Briefs | en_HK |
dc.rights | ©2007 IEEE. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the IEEE. | - |
dc.subject | Causal stable infinite-impulse response (IIR) filters | en_HK |
dc.subject | Linear and convex quadratic constraints | en_HK |
dc.subject | Model reduction | en_HK |
dc.subject | Polyphase decomposition | en_HK |
dc.subject | Second-order cone programming | en_HK |
dc.title | Design of constrained causal stable IIR filters using a new second- order-cone-programming-based model-reduction technique | en_HK |
dc.type | Article | en_HK |
dc.identifier.openurl | http://library.hku.hk:4550/resserv?sid=HKU:IR&issn=1549-7747&volume=54&issue=2&spage=107&epage=111&date=2007&atitle=Design+of+Constrained+Causal+Stable+IIR+Filters+Using+a+New+Second-+Order-Cone-Programming-Based+Model-Reduction+Technique | en_HK |
dc.identifier.email | Chan, SC: ascchan@hkucc.hku.hk | en_HK |
dc.identifier.email | Tsui, KM: kmtsui11@hku.hk | en_HK |
dc.identifier.email | Tse, KW: kwtse@eee.hku.hk | en_HK |
dc.identifier.authority | Chan, SC=rp00094 | en_HK |
dc.identifier.authority | Tsui, KM=rp00181 | en_HK |
dc.identifier.authority | Tse, KW=rp00180 | en_HK |
dc.description.nature | published_or_final_version | en_HK |
dc.identifier.doi | 10.1109/TCSII.2006.883831 | en_HK |
dc.identifier.scopus | eid_2-s2.0-33947600363 | en_HK |
dc.identifier.hkuros | 140417 | - |
dc.relation.references | http://www.scopus.com/mlt/select.url?eid=2-s2.0-33947600363&selection=ref&src=s&origin=recordpage | en_HK |
dc.identifier.volume | 54 | en_HK |
dc.identifier.issue | 2 | en_HK |
dc.identifier.spage | 107 | en_HK |
dc.identifier.epage | 111 | en_HK |
dc.identifier.isi | WOS:000244401100003 | - |
dc.publisher.place | United States | en_HK |
dc.identifier.scopusauthorid | Chan, SC=13310287100 | en_HK |
dc.identifier.scopusauthorid | Tsui, KM=7101671591 | en_HK |
dc.identifier.scopusauthorid | Tse, KW=7102609851 | en_HK |
dc.identifier.issnl | 1057-7130 | - |